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Finding the Fourth Proportional to 10,449.38, 15,649.68 and 9,074

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Solution

The fourth proportional to 10,449.38, 15,649.68 and 9,074 is: 13,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.38 : 15,649.68 = 9,074 : x
  2. Step 2: Convert to fraction form
    10,449.38/15,649.68 = 9,074/x
  3. Step 3: Cross multiply
    10,449.38x = 15,649.68 × 9,074
  4. Step 4: Simplify right side
    10,449.38x = 142,005,196.32
  5. Step 5: Solve for x
    x = 142,005,196.32/10,449.38
  6. Step 6: Final answer
    x = 13,589.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.